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BTZ Black Hole Entropy and the Turaev-Viro model

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arxiv 1312.1696 v1 pith:FYQJCYUR submitted 2013-12-05 gr-qc hep-th

BTZ Black Hole Entropy and the Turaev-Viro model

classification gr-qc hep-th
keywords blackholeentropymodelturaev-viroagreementanalyticallybekenstein-hawking
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show the explicit agreement between the derivation of the Bekenstein-Hawking entropy of a Euclidean BTZ black hole from the point of view of spin foam models and canonical quantization. This is done by considering a graph observable (corresponding to the black hole horizon) in the Turaev-Viro state sum model, and then analytically continuing the resulting partition function to negative values of the cosmological constant.

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